Geodesic
On a Trivial Monodromy Criterion for the Sturm--Liouville Equation
Matematičeskie zametki, Tome 94 (2013) no. 4, pp. 552-568

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We obtain a necessary and sufficient condition for the equation $-y''(z)+q(z)y(z)=\lambda y(z)$ to be monodromy-free; here $z\in \gamma$ and $\gamma$ is a piecewise smooth curve which is the boundary of a convex bounded domain.
Mots-clés : Sturm–Liouville equation, monodromy matrix
Keywords: monodromy-free potential, meromorphic function, Sokhotskii–Plemelj formula, Gronwall inequality, Hardy class. 
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     author = {Kh. K. Ishkin},
     title = {On a {Trivial} {Monodromy} {Criterion} for the {Sturm--Liouville} {Equation}},
     journal = {Matemati\v{c}eskie zametki},
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     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2013_94_4_a5/}
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Kh. K. Ishkin. On a Trivial Monodromy Criterion for the Sturm--Liouville Equation. Matematičeskie zametki, Tome 94 (2013) no. 4, pp. 552-568. http://geodesic.mathdoc.fr/item/MZM_2013_94_4_a5/